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Finding the Fourth Proportional to 106,111.53, 146,430.83 and 58,364.87

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Solution

The fourth proportional to 106,111.53, 146,430.83 and 58,364.87 is: 80,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,111.53 : 146,430.83 = 58,364.87 : x
  2. Step 2: Convert to fraction form
    106,111.53/146,430.83 = 58,364.87/x
  3. Step 3: Cross multiply
    106,111.53x = 146,430.83 × 58,364.87
  4. Step 4: Simplify right side
    106,111.53x = 8,546,416,173.90
  5. Step 5: Solve for x
    x = 8,546,416,173.90/106,111.53
  6. Step 6: Final answer
    x = 80,541.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.